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2022-08-14
A Normal-Vector-Field-Based Preconditioner for a Spatial Spectral Domain-Integral Equation Method for Multi-Layered Electromagnetic Scattering Problems
By
Progress In Electromagnetics Research C, Vol. 123, 1-16, 2022
Abstract
A normal-vector-field-based block diagonal-preconditioner for the spatial spectral integral method is proposed for an electromagnetic scattering problem with multi-layered medium. This preconditioner has a block-diagonal matrix structure for both 2D TM polarization and 3D cases. Spectral analysis shows that the preconditioned system has a more clustered eigenvalue distribution, compared to the unpreconditioned system. For the cases with high contrast or negative permittivity, numerical experiments illustrate that the preconditioned system requires fewer iterations than the unpreconditioned system. The total computation time is reduced accordingly while the accuracy based on the normal-vector field formulation of the solution is preserved.
Citation
Ligang Sun, Roeland Johannes Dilz, and Martijn Constant van Beurden, "A Normal-Vector-Field-Based Preconditioner for a Spatial Spectral Domain-Integral Equation Method for Multi-Layered Electromagnetic Scattering Problems," Progress In Electromagnetics Research C, Vol. 123, 1-16, 2022.
doi:10.2528/PIERC22051907
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